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The errors inherent in the usual method of correcting for the spectral distribution in the variance method of profile analysis, i.e. the subtraction of the variance-range function of the spectral distribution from that of the powder line profile, are studied in detail. It is shown, using a fairly general model, that additivity of variances holds very well for slopes but rather poorly for intercepts of linear variance-range functions. An approximate expression for the additivity error is given.